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3 years ago

Which description is a correct way to solve the equation below? x/5 + 4.3 = 12.4

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Solution:

<u>Step-1: Subtract 4.3 both sides.</u>

x/5 + 4.3 = 12.4
=> x/5 + 4.3 - 4.3 = 12.4 - 4.3
=> x/5 = 8.1

<u>Step-2: Use cross multiplication to find x.</u>

x/5 = 8.1
=> x = 8.1 x 5
=> x = 40.5

Hence, the value of x is 40.5.

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Please Help it's due today I'm putting all my points into this please.

Ann [662]

Answer:

0.308973

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Step-by-step explanation:

cos 2π/5 = cos 2 * π/5 = cos² π/5 - sin² π/5 = (0.8090)² - (0.5878)² = 0.308973

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4 years ago

Yolanda has finished 45% of the homework problems she was assigned. So far she has finished 27 problems.

sveta [45]

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4 years ago

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long. She wants t ok leave a uniform strip of floor aroun

Lostsunrise [7]

Answer:

Dimension of rug is $(15\times 18)\ ft$

Step-by-step explanation:

Given: Area of rug= 270 ft²

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long.

Let´s assume the uniform strip size of floor around rug be "x".

As given, Cynthia wants to leave a uniform strip of floor around the rug.

∴ Rug dimension will be $(23-2x)\times (26-2x)$

We know, area of rectangle= $width\times length$

Forming an equation for area of rug.

⇒ $270= (23-2x)\times (26-2x)$

Now solving the equation to find the dimension of rug.

$270= (23-2x)\times (26-2x)$

Using distributive property of multiplication.

⇒ $270= 598-46x-52x+4x^{2}$

⇒ $598-98x+4x^{2}= 270$

Subtracting both side by 270

⇒ $4x^{2}-98x+328= 0$

using quadratic formula to solve the equation.

⇒ Formula: $\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}$

∴ In the expression , we have a= 4, b= -98 and c= 328.

Now, subtituting the value in the formula.

= $\frac{-(-98)\pm \sqrt{-98^{2}-4(4\times 328) } }{2\times 4}$

= $\frac{98\pm \sqrt{9604-4(1312) } }{8}$

Opening parenthesis.

= $\frac{98\pm \sqrt{9604-5248 } }{8}$

= \frac{98\pm \sqrt{4356}}{8}

We know 66²=4356 and √a²=a or -a

= $\frac{98\pm 66}{8}$

= $\frac{98+66}{8}\ or \ \frac{98-66}{8}$

= $20.5 \ or\ 4$

∴ Value of x will be either 20.5 ft or 4 ft

Ignoring decimal value, therefore taking value of x is 4 ft

Subtituting the value of x to find the dimension of rug.

Width of rug= $(23-2x)$

⇒ Width of rug= $23- 2\times 4$

⇒ Width of rug= $23-8= 15\ ft$

Next, Length of rug= $(26-2x)$

⇒ Length of rug= $(26-2\times 4)$

⇒ Length of rug= $26-8= 18\ ft$

Hence, dimension of rug is $(15\times 18)\ ft$

6 0

3 years ago

A certain population of bacteria has an initial population of 225. the bacteria triples every hour. determine the multiplier tha

dimaraw [331]

Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the growth rate.

In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:

$y = a(3)^x$

Hence, after 2 hours:

$y = a(3)^2 = 9a$

Which means that the multiplier is of 9.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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2 years ago

2a 2 b 3 and -4a 2 b 3 are like terms.

jolli1 [7]

Answer:

Tiger Algebra{(2a-b)^3+(a-2b)^3} - Free yet powerful Solver Simplifier that ... Step 2 : Pulling out like terms : 2.1 Pull out like factors : 9a3 - 18a2b + 18ab2 - 9b3 =Step-by-step

explanation:

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3 years ago